Daily Practice

Higher Plus

18th April 1976

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Bounds3 marks
x = 191 and y = 146, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 11 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 25a + 25b. What does this show about PQ and RS?

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